Magnetic Field due to an Asymmetric Hollow Cylinder University of Illinois, Urbana ChampaignPHYSPHYS 212DQ9B_solution - Discussion Question 9B P212 Week 9 A conducting cylinder is oriented parallel to the

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Discussion Question 9B P212, Week 9 Magnetic Field due to an Asymmetric Hollow Cylinder A conducting cylinder is oriented parallel to the z axis and carries a uniform current I in the negative z d... irection (into the page). This cylinder is hollow, however, with a cylindrical bore centered on the point Q shown in the figure. The radius of this bore is R1, while the outer radius of the cylinder is R2. (a) Calculate the magnetic field at the point P on the y axis. (i) This appears to be a horrendous problem, with no symmetry! But really, the hollow cylinder is a superposition of two solid cylinders ... and a solid cylinder of current is something we can deal with. How could you treat this system so that it consists of two solid cylinders? Two separate cylinders, one w/ I into the page that has radius R2, and one centered at Q, w/ radius R1 and current I out of the page (ii) Calculate the field at point P due to each of the two cylinders, then add the two contributions together. Remember to work by components since you are adding field vectors [Show More]

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